Paper 2022/1750
Assessing the Impact of a Variant of the Latest Dual Attack
Abstract
The dual attacks on the Learning With Errors (LWE) problem are currently a subject of controversy. In particular, the results of [Matzov,2022], which claim to significantly lower the security level of CRYSTALS-Kyber, a lattice-based cryptosystem currently being standardized by NIST, are not widely accepted. The analysis behind their attack depends on a series of assumptions that, in certain scenarios, have been shown to contradict established theorems or well-tested heuristics [Ducas,Pulles,CRYPTO2023].
In this paper, we introduce a new dual lattice attack on LWE, drawing from ideas in coding theory. Our approach revisits the dual attack proposed by [Matzov,2022], replacing modulus switching with an efficient decoding algorithm. This decoding is achieved by generalizing polar codes over
Note: This new version of the paper represents a substantial revision of the 2022 version. In particular, we present a new analysis of our dual lattice attack. Unlike our earlier version, the current analysis does not rely on independence assumptions that have recently been challenged in the work of Ducas and Pulles (CRYPTO 2023). Instead, we adopt an approach that has been validated experimentally, particularly to assess the potential issue of the error floor phenomenon, which may arise in our setting.
Metadata
- Available format(s)
-
PDF
- Category
- Attacks and cryptanalysis
- Publication info
- Preprint.
- Keywords
- Latticedual attackscodes
- Contact author(s)
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kevin carrier @ cyu fr
charles meyer-hilfiger @ inria fr
yixin shen @ inria fr
jean-pierre tillich @ inria fr - History
- 2025-04-14: revised
- 2022-12-20: received
- See all versions
- Short URL
- https://ia.cr/2022/1750
- License
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CC BY
BibTeX
@misc{cryptoeprint:2022/1750, author = {Kevin Carrier and Charles Meyer-Hilfiger and Yixin Shen and Jean-Pierre Tillich}, title = {Assessing the Impact of a Variant of the Latest Dual Attack}, howpublished = {Cryptology {ePrint} Archive, Paper 2022/1750}, year = {2022}, url = {https://eprint.iacr.org/2022/1750} }